Atkin-Lehner |
2+ 3- 5- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3120k |
Isogeny class |
Conductor |
3120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
399360 = 211 · 3 · 5 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8320,-294892] |
[a1,a2,a3,a4,a6] |
j |
31103978031362/195 |
j-invariant |
L |
1.9995136109524 |
L(r)(E,1)/r! |
Ω |
0.49987840273809 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1560k4 12480bq3 9360o4 15600f3 |
Quadratic twists by: -4 8 -3 5 |